Cody bought 2 pair of gloves and 4 hats for $43. tori bought 2 pairs of gloves and 2 hats. find the prices of the gloves and hats.

Question:

At a sale on winter clothing, Cody bought two pairs of gloves and four hats for $43.00. Tori bought two pairs of gloves and two hats for $30.00. What were the prices for the gloves and hats?

Price of one pair of gloves is $ 8.5 and price of 1 hat is $ 6.5

Solution:

Let "g" be the price of one pair of gloves

Let "h" be the price of 1 hat

Cody bought 2 pair of gloves and 4 hats for $43

Therefore, we frame a equation as:

2 x price of one pair of gloves + 4 x price of 1 hat = 43

2g + 4h = 43 ----------- eqn 1

Tori bought two pairs of gloves and two hats for $30.00

Therefore, we frame a equation as:

2 x price of one pair of gloves + 2 x price of 1 hat = 30

2g + 2h = 30

Divide by 2

g + h = 15

g = 15 - h ----------- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 2 in eqn 1

2(15 - h) + 4h = 43

30 - 2h + 4h = 43

2h = 43 - 30

2h = 13

Substitute h = 6.5 in eqn 2

g = 15 - 6.5

Thus price of one pair of gloves is $ 8.5 and price of 1 hat is $ 6.5